Answer:
Step-by-step explanation:
let base be x and height be 3x
we know area of parallelogram is
base*height
ie x*3x=675
3x^2=675
x^2=675/3
x^2=225
x= square root of 225
x=15
therefore base =15
height = 45
3x + xy^2 + 5x - 2xy ok so once you can decode the sentence this is what it will look like. First you add the common facts which are 3x and 5x which = 8x ok so now we have 8x + xy^2 - 2xy so then I believe you cant do anything after that because there will be no more common factors hey can you tell me if I am write if you have already had turn this in please hope this helps
I’d say it’s between B and D
Answer:
D.
Step-by-step explanation:
cos is positive and sin is negative
=>
it must be in quadrant IV.
you remember, 1 = sin² + cos²
1 = sin² + (3/5)² = sin² + 9/25
25/25 = sin² + 9/25
16/25 = sin²
sin = 4/5 or -4/5
and as sin of this angle is < 0, our solution is -4/5
Question:
Diners frequently add a 15% tip when charging a meal to a credit card. What is the price of the meal without the tip if the amount charged is $20.70? How much was the tip?
Answer:
Price of meal = $18
Tip price = $2.70
Step-by-step explanation:
Let the price of the meal be <em>y</em>;
Let the tip be <em>t</em>
<em></em>
<em>From the question;</em>
15% of <em>y </em>is the tip charge (<em>t</em>). i.e
t = 15%y
=> t = 0.15y --------(i)
<em>The total amount charged is $20.70 (This means that the sum of the price of the meal and the tip is $20.70)</em>
=> y + t = 20.70 [substitute the value of t=0.15y from equation (i)]
=> y + 0.15y = 20.70
=> 1.15y = 20.70
=> y = 
=> y = $18
Therefore the price of the meal, y, is $18.
From equation (i),
t = 0.15y [substitute the value of y = $18]
t = 0.15(18)
t = $2.70
Therefore the tip was $2.70